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math.CO2008
The Charney-Davis conjecture for certain subdivisions of spheres
Andrew Frohmader
Notions of sesquiconstructible complexes and odd iterated stellar subdivisions are introduced, and some of their basic properties are verified. The Charney-Davis conjecture is then…
math.CO2008
More Constructions for Turán's (3, 4)-Conjecture
Andrew Frohmader
For Turán's (3, 4)-conjecture, in the case of n = 3k+1 vertices, (.5)6^{k-1} non-isomorphic complexes are constructed that attain the conjecture. In the case of n = 3k+2 vertices,…